Prime p₀= 2606102817097445879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 182
Found by: SEARCHER
db: batch=82, k=10, 2 46 2 40 2

SPT(20)	2606102208593869631	0 32 42 72 78 86 98 122 126 170 288 332 336 360 372 380 386 416 426 458	-608503576248
SPT(16)	2606102418942351821	0 18 38 98 156 176 240 248 330 338 402 422 480 540 560 578	-398155094058
STPT(10)	2606102459409520829	0 2 18 20 30 32 42 44 60 62	-357687925050
SPT(16)	2606102472056921729	0 8 30 78 84 108 110 128 204 222 224 248 254 302 324 332	-345040524150
SPT(16)	2606102574503191717	0 30 42 126 156 172 192 240 316 364 384 400 430 514 526 556	-242594254162
SPT(16)	2606102760601185401	0 20 36 56 80 86 150 206 222 278 342 348 372 392 408 428	-56496260478
STPT(10)	2606102838495744407	0 2 30 32 42 44 54 56 84 86	21398298528
SPT(16)	2606102972512020547	0 34 52 90 102 150 184 210 286 312 346 394 406 444 462 496	155414574668
STPT(10)	2606103887711693849	0 2 18 20 30 32 42 44 60 62	1070614247970
SPT(16)	2606103914010158431	0 6 22 30 42 52 100 106 162 168 216 226 238 246 262 268	1096912712552
TPT(14)	2606104249861006199	0 2 30 32 42 44 60 62 138 140 240 242 258 260	1432763560320